What question did this study set out to answer?

Develop a rigorous mathematical framework for functional integration over infinite-dimensional spaces using projective limits of compact Hausdorff spaces, applied to gauge theories.

May 1, 1995Journal of Mathematical PhysicsOpen Access

Projective techniques and functional integration for gauge theories

View Full Paper

Ask AI

Bookmark

Develop a rigorous mathematical framework for functional integration over infinite-dimensional spaces using projective limits of compact Hausdorff spaces, applied to gauge theories.
Constructed a general integration framework over infinite-dimensional manifolds using projective limits of projective families of compact Hausdorff spaces.
Applied the projective integration procedure to non-linear spaces of connections modulo gauge transformations within both Euclidean path integral and Lorentzian canonical formalisms.
Successfully formulated functional integration over non-linear infinite-dimensional spaces of gauge connections.
Identified and constructed diffeomorphism-invariant measures directly applicable to the connection dynamics formulation of quantum general relativity.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

Theoretical analysis demonstrates functional integration over infinite-dimensional gauge connection spaces, highlighting applications to quantum general relativity.

Cite This Study

Ashtekar et al. (1995) studied this question.

synapsesocial.com/papers/6a174881bdf43c780a7868bb https://doi.org/10.1063/1.531037

View Full Paper

Ask AI

Bookmark

Implication

Theoretical analysis demonstrates functional integration over infinite-dimensional gauge connection spaces, highlighting applications to quantum general relativity.

Projective techniques and functional integration for gauge theories

Key Points

Discussion

Implication

Cite This Study

Projective techniques and functional integration for gauge theories

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider